DOI: https://doi.org/10.15588/1607-3274-2011-1-15

ESTIMATION OF FERMA CURVES PARAMETERS FOR UNIVERSAL HASHING OF NUMBER SOLUTION FOR HURVITZ EQUATION IN THE FINITE FIELD

G. Z. Khalimov

Abstract


Exact solutions for a number of Ferma curves points when the field order has dividers 2, 3 and 6 as well as estimates of points number have been obtained using probabilistic approach. Asymptotic boundaries of the ratio of maximum number of Ferma curve points in a simple field to its genus and to Hasse–Weil boundary are given.

Keywords


universal hashing, Ferma curves.

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Copyright (c) 2014 G. Z. Khalimov

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